From the sample, statistics find the value of p? 1 - p? 2 ,the point esimate of
ID: 3052695 • Letter: F
Question
From the sample, statistics find the value of p?1 - p?2 ,the point esimate of the estimate of the difference of proportions. Unless otherwise indicated, round to the nearest thousandth when necessary.
A study was conducted to compare the effectiveness of two weight loss strategies for obese participants. the proportion of obese clients who lost atleast 10% of their body weight was compared for two startegies. The resulting 98% confidence interval for p1-p2 is (-0.13, 0.09). Give an interpretation of this confidence interval.
A.There is a 98% probability that the proportion of obese clients losing weight under strategy 1 is between 13% less and 9% more than the proportion of obese clients losing weight under strategy 2.
B.There is a 98% probability that the proportion of obese clients losing weight under strategy 2 is between 13% less and 9% more than the proportion of obese clients losing weight under strategy 1.
C.If samples were repeatedly drawn from the same populations under the same circumstances, the true population difference (p1-p2) would be between -0.13 and 0.09 98% of the time.
D.We are 98% confident that the proportion of obese clients losing the weight under strategy 1 is between 13% less and 9% more than the proportion of obese clients losing weight under strategy 2.
E. We are 98% confident that the proportion of obese clients losing the weight under strategy 2 is between 13% less and 9% more than the proportion of obese clients losing weight under strategy 1.
Explanation / Answer
If samples were repeatedly drawn from the same populations under the same circumstances, the true population difference (p1-p2) would be between -0.13 and 0.09 98% of the time.Is the correct interpretation of the given interval
We can't say anything about which stategy loses weight than the other.
Confidence interval of difference between proportions cover zero and hence if we made a test for difference between two proportion is zero or not then result would be accept null hypothesis i.e. there is no difference between to population proportion
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